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Finding the Third Proportional to 18,101 and 23,857

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Solution

The third proportional to 18,101 and 23,857 is: 31,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101 : 23,857 = 23,857 : x
  2. Step 2: Convert to fraction form
    18,101/23,857 = 23,857/x
  3. Step 3: Cross multiply
    18,101x = 23,857 × 23,857
  4. Step 4: Simplify right side
    18,101x = 569,156,449
  5. Step 5: Solve for x
    x = 569,156,449/18,101
  6. Step 6: Final answer
    x = 31,443.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.